An electroporation method and apparatus generating and applying an electric field according to a user-specified pulsing scheme. Advantageously, one such pulse includes a low voltage pulse of a first duration, immediately followed by a high voltage of a second duration, immediately followed by a low voltage of a third duration. The low voltage electroporation field accumulates molecules at the surface of a cell, the appropriately high voltage field creates an opening in the cell, and the final low voltage field moves the molecule into the cell. The molecules may be DNA, portions of DNA, chemical agents, the receiving cells may be eggs, platelets, human cells, red blood cells, mammalian cells, plant protoplasts, plant pollen, liposomes, bacteria, fungi, yeast, sperm, or other suitable cells. The molecules are placed in close proximity to the cells, either in the interstitial space in tissue surrounding the cells or in a fluid medium containing the cells.